Math Snap

STEP 1

Assumptions1. The energy used for the hike is750 kcal. We need to convert this energy to other units

STEP 2

We'll start by converting kcal to cal. We know that1 kcal equals1000 cal.
$$Energy_{cal} = Energy_{kcal} \\times1000$$

STEP 3

Now, plug in the given value for the energy in kcal to calculate the energy in cal.
$$Energy_{cal} =750 \\times1000$$

STEP 4

Calculate the energy in cal.
$$Energy_{cal} =750 \\times1000 =750,000 \, cal$$

STEP 5

Next, we'll convert kcal to Joules. We know that1 kcal equals approximately4184 Joules.
$$Energy_{J} = Energy_{kcal} \\times4184$$

STEP 6

Now, plug in the given value for the energy in kcal to calculate the energy in Joules.
$$Energy_{J} =750 \\times4184$$

STEP 7

Calculate the energy in Joules.
$$Energy_{J} =750 \\times4184 =3,138,000 \, J$$

STEP 8

Finally, we'll convert kcal to BT. We know that1 kcal equals approximately0.00397 BT.
$$Energy_{BT} = Energy_{kcal} \\times0.00397$$

STEP 9

Now, plug in the given value for the energy in kcal to calculate the energy in BT.
$$Energy_{BT} =750 \\times.00397$$

Calculate the energy in BT.
$$Energy_{BT} =750 \\times0.00397 =2.98 \, BT$$The energy used for the hike is750,000 cal,3,138,000 J, and2.98 BT.